TY  - JOUR
JF  - J FLUID MECH
PB  - CAMBRIDGE UNIV PRESS
ID  - discovery82782
UR  - http://dx.doi.org/10.1017/S0022112097006447
N1  - © 1997 Cambridge University Press
AV  - public
SN  - 0022-1120
N2  - The subtle impact of the spanwise scaling in nonlinear interactions between oblique instability waves and the induced longitudinal vortex field is considered theoretically for the case of a Rayleigh-unstable boundary-layer flow, at large Reynolds numbers. A classification is given of various flow regimes on the basis of Reynolds-stress mechanisms of mean vorticity generation, and a connection between low-amplitude non-parallel vortex/wave interactions and less-low-amplitude non-equilibrium critical-layer flows is discussed in more detail than in previous studies. Two new regimes of vortex/wave interaction for increased spanwise lengthscales are identified and studied. In the first, with the cross-scale just slightly larger than the boundary-layer thickness, the wave modulation is governed by an amplitude equation with a convolution and an ordinary integral term present due to nonlinear contributions from all three Reynolds-stress components in the cross-momentum balance. In the second regime the cross-scale is larger; and the wave modulation is found to be governed by an integral/partial differential equation. In both cases the main-flow non-parallelism contributes significantly to the coupled wave/vortex development.
SP  - 247 
VL  - 348
Y1  - 1997/10//
TI  - Vortex/inflectional-wave interactions with weakly three-dimensional input
A1  - Timoshin, SN
A1  - Smith, FT
KW  - BOUNDARY-LAYER-TRANSITION
KW  -  TOLLMIEN-SCHLICHTING WAVES
KW  -  OBLIQUE INSTABILITY WAVES
KW  -  TAYLOR-GORTLER VORTICES
KW  -  PLANE PARALLEL FLOW
KW  -  NONLINEAR EVOLUTION
KW  -  SHEAR FLOWS
KW  -  RESONANT-TRIAD
KW  -  CROSS-FLOW
KW  -  STREAMWISE VORTICES
EP  -  294
ER  -